Author Rapin, Gerd

• 2001 | Conference Paper
  ​ ​Stabilized FEM with shock-capturing for advection-diffusion problems​
  Knopp, T.; Lube, G.   & Rapin, G.​ (2001)
  ZAMM, 81 pp. S767​-S768. ​Annual Scientific Conference of the Society-for-Applied-Mathematics-and-Mechanics (GAMM 2000)​, UNIV GOTTINGEN, GOTTINGEN, GERMANY.
  Berlin​: Wiley-v C H Verlag Gmbh.
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• 2002 | Journal Article
  ​ ​Stabilized finite element methods with shock capturing for advection-diffusion problems​
  Knopp, T.; Lube, G.   & Rapin, G.​ (2002) 
  Computer Methods in Applied Mechanics and Engineering, 191(27-28) art. PII S0045-7825(02)0222-0​.​ DOI: https://doi.org/10.1016/S0045-7825(02)00222-0 
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• 2003 | Thesis | Doctoral Thesis
  ​ ​The three-field formulation for elliptic equations: stabilization and decoupling strategies​
  Rapin, G.​ (2003)
  Georg-August-Universität Göttingen, Mathematische Fakultät. 
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• 2004 | Journal Article
  ​ ​A stabilized three-field formulation for advection-diffusion equations​
  Rapin, G. & Lube, G. ​ (2004) 
  Computing, 73(2) pp. 155​-178​.​ DOI: https://doi.org/10.1007/s00607-004-0069-0 
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• 2004 | Journal Article
  ​ ​A stabilized scheme for the lagrange multiplier method for advection-diffusion equations​
  Rapin, G. & Lubet, G.​ (2004) 
  Mathematical Models and Methods in Applied Sciences, 14(7) pp. 1035​-1060​.​ DOI: https://doi.org/10.1142/S0218202504003532 
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• 2005 | Journal Article
  ​ ​New constructions of domain decomposition methods for systems of PDEs​
  Dolean, V.; Nataf, F. & Rapin, G.​ (2005) 
  Comptes Rendus Mathematique, 340(9) pp. 693​-696​.​ DOI: https://doi.org/10.1016/j.crma.2005.03.026 
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• 2006 | Journal Article
  ​ ​Residual-based stabilized higher-order FEM for advection-dominated problems​
  Lube, G.   & Rapin, G.​ (2006) 
  Computer Methods in Applied Mechanics and Engineering, 195(33-36) pp. 4124​-4138​.​ DOI: https://doi.org/10.1016/j.cma.2005.07.017 
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• 2006 | Journal Article
  ​ ​Residual-based stabilized higher-order fem for a generalized Oseen problem​
  Lube, G.   & Rapin, G.​ (2006) 
  Mathematical Models and Methods in Applied Sciences, 16(7) pp. 949​-966​.​ DOI: https://doi.org/10.1142/S0218202506001418 
  ​Details  DOI  WoS 

• 2007 | Conference Paper
  ​ ​Free electron laser nitriding of metals: From basis physics to industrial applications​
  Hoeche, D.; Rapin, G.; Kaspar, J.; Shinn, M. & Schaaf, P.​ (2007)
  Applied Surface Science, 253(19) pp. 8041​-8044. ​Symposium on Photon-Assisted Synthesis and Processing of Functional Materials held at the 2006 EMRS Spring Meeting​, Nice, FRANCE.
  Amsterdam​: Elsevier Science Bv. DOI: https://doi.org/10.1016/j.apsusc.2007.02.170 
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• 2007 | Conference Paper
  ​ ​FEM simulation of the laser plasma interaction during laser nitriding of titanium​
  Hoeche, D.; Rapin, G. & Schaaf, P.​ (2007)
  Applied Surface Science, 254(4) pp. 888​-892. ​Symposium on Laser Synthesis and Processing of Advanced Materials held at the E-MRS 2007 Spring Meeting​, Strasbourg, FRANCE.
  Amsterdam​: Elsevier Science Bv. DOI: https://doi.org/10.1016/j.apsusc.2007.08.079 
  ​Details  DOI  WoS 

• 2007 | Journal Article | 
  ​ ​Laser pulse structure dependent texture of FEL synthesized TiNx coatings​
  Hoeche, D.; Shinn, M.; Kaspar, J.; Rapin, G. & Schaaf, P.​ (2007) 
  Journal of Physics D Applied Physics, 40(3) pp. 818​-825​.​ DOI: https://doi.org/10.1088/0022-3727/40/3/019 
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• 2008 | Conference Paper
  ​ ​Stabilized finite element methods to predict ventilation efficiency and thermal comfort in buildings​
  Lube, G. ; Knopp, T.; Rapin, G.; Gritzki, R. & Roesler, M.​ (2008)
  International Journal for Numerical Methods in Fluids, 57(9) pp. 1269​-1290. ​14th International Conference on Finite Elements in Flow Problems​, Santa Fe, NM.
  Chichester​: John Wiley & Sons. DOI: https://doi.org/10.1002/fld.1790 
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• 2008 | Journal Article
  ​ ​Local projection stabilization for incompressible flows: Equal-order vs. inf-sup stable interpolation​
  Lube, G. ; Rapin, G. & Loewe, J.​ (2008) 
  Electronic Transactions on Numerical Analysis, 32 pp. 106​-122​.​
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• 2009 | Journal Article
  ​ ​DERIVING A NEW DOMAIN DECOMPOSITION METHOD FOR THE STOKES EQUATIONS USING THE SMITH FACTORIZATION​
  Dolean, V.; Nataf, F. & Rapin, G.​ (2009) 
  Mathematics of Computation, 78(266) art. PII S0025-5718(08)02172-8​.​
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• 2009 | Journal Article | 
  ​ ​Marangoni Convection during Free Electron Laser Nitriding of Titanium​
  Hoeche, D.; Mueller, S.; Rapin, G.; Shinn, M.; Remdt, E.; Gubisch, M. & Schaaf, P.​ (2009) 
  METALLURGICAL AND MATERIALS TRANSACTIONS B-PROCESS METALLURGY AND MATERIALS PROCESSING SCIENCE, 40(4) pp. 497​-507​.​ DOI: https://doi.org/10.1007/s11663-009-9243-1 
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